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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a<0 > For fixed z and a=-31/8, b>=a > For fixed z and a=-31/8, b=5/8





http://functions.wolfram.com/07.23.03.bf3b.01









  


  








Input Form





Hypergeometric2F1[-(31/8), 5/8, 11/2, z] == (1/(1811806161 z^(9/2))) (512 ((1 + Sqrt[z])^(35/4) (8960 - 78400 Sqrt[z] + 299120 z - 642600 z^(3/2) + 831483 z^2 - 642600 z^(5/2) + 299120 z^3 - 78400 z^(7/2) + 8960 z^4) - (1 - Sqrt[z])^(35/4) (8960 + 78400 Sqrt[z] + 299120 z + 642600 z^(3/2) + 831483 z^2 + 642600 z^(5/2) + 299120 z^3 + 78400 z^(7/2) + 8960 z^4)))








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02